%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SYN225-1 : TPTP v9.3.1. Released v1.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% Computer : n017.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 29 02:07:03 PM UTC 2026
% Result : Unsatisfiable 0.20s 0.28s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 10
% Syntax : Number of formulae : 30 ( 13 unt; 3 def)
% Number of atoms : 56 ( 0 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 55 ( 29 ~; 23 |; 0 &)
% ( 3 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 10 ( 9 usr; 4 prp; 0-3 aty)
% Number of functors : 2 ( 2 usr; 2 con; 0-0 aty)
% Number of variables : 7 ( 0 sgn 7 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f9,axiom,
r0(b),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',axiom_9) ).
fof(f20,axiom,
l0(a),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',axiom_20) ).
fof(f32,axiom,
k0(b),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',axiom_32) ).
fof(f59,axiom,
! [X0,X1] :
( ~ k0(X1)
| ~ l0(X0)
| m1(X0,X1,X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_021) ).
fof(f214,axiom,
! [X0,X1] :
( ~ m1(X1,X0,X1)
| p2(X0,X1,X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_176) ).
fof(f253,axiom,
! [X0,X1] :
( l3(X0,X1)
| ~ r0(X0)
| ~ p2(X0,X1,X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_215) ).
fof(f369,negated_conjecture,
~ l3(b,a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this) ).
fof(f626,definition,
( spl0_66
<=> r0(b) ),
introduced(definition,[new_symbols(definition,[spl0_66])],[avatar_definition]) ).
fof(f627,plain,
( r0(b)
| ~ spl0_66 ),
inference(avatar_component_clause,[],[f626]) ).
fof(f972,definition,
( spl0_153
<=> k0(b) ),
introduced(definition,[new_symbols(definition,[spl0_153])],[avatar_definition]) ).
fof(f973,plain,
( k0(b)
| ~ spl0_153 ),
inference(avatar_component_clause,[],[f972]) ).
fof(f1089,definition,
( spl0_182
<=> l0(a) ),
introduced(definition,[new_symbols(definition,[spl0_182])],[avatar_definition]) ).
fof(f1090,plain,
( l0(a)
| ~ spl0_182 ),
inference(avatar_component_clause,[],[f1089]) ).
fof(f1269,plain,
spl0_153,
inference(avatar_split_clause,[],[f32,f972]) ).
fof(f1274,plain,
spl0_182,
inference(avatar_split_clause,[],[f20,f1089]) ).
fof(f1277,plain,
spl0_66,
inference(avatar_split_clause,[],[f9,f626]) ).
fof(f1628,plain,
( ! [X0] :
( ~ l0(X0)
| m1(X0,b,X0) )
| ~ spl0_153 ),
inference(resolution,[],[f59,f973]) ).
fof(f1631,plain,
( m1(a,b,a)
| ~ spl0_153
| ~ spl0_182 ),
inference(resolution,[],[f1628,f1090]) ).
fof(f1676,plain,
( p2(b,a,b)
| ~ spl0_153
| ~ spl0_182 ),
inference(resolution,[],[f214,f1631]) ).
fof(f1855,plain,
( ~ r0(b)
| ~ p2(b,a,b) ),
inference(resolution,[],[f253,f369]) ).
fof(f1856,plain,
( ~ p2(b,a,b)
| ~ spl0_66 ),
inference(forward_subsumption_resolution,[],[f1855,f627]) ).
fof(f1857,plain,
( $false
| ~ spl0_66
| ~ spl0_153
| ~ spl0_182 ),
inference(forward_subsumption_resolution,[],[f1856,f1676]) ).
fof(f1858,plain,
( ~ spl0_66
| ~ spl0_153
| ~ spl0_182 ),
inference(avatar_contradiction_clause,[],[f1857]) ).
cnf(s121,plain,
spl0_153,
inference(sat_conversion,[],[f1269]) ).
cnf(s126,plain,
spl0_182,
inference(sat_conversion,[],[f1274]) ).
cnf(s129,plain,
spl0_66,
inference(sat_conversion,[],[f1277]) ).
cnf(s241,plain,
( ~ spl0_66
| ~ spl0_153
| ~ spl0_182 ),
inference(sat_conversion,[],[f1858]) ).
cnf(s252,plain,
~ spl0_153,
inference(rat,[],[s241,s129,s126]) ).
cnf(s253,plain,
$false,
inference(rat,[],[s121,s252]) ).
fof(f1859,plain,
$false,
inference(avatar_sat_refutation,[],[s253]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SYN225-1 : TPTP v9.3.1. Released v1.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.07/0.18 % Computer : n017.cluster.edu
% 0.07/0.18 % Model : x86_64 x86_64
% 0.07/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.18 % Memory : 8046.5625MB
% 0.07/0.18 % OS : Linux 6.8.0-71-generic
% 0.07/0.18 % CPULimit : 300
% 0.07/0.18 % WCLimit : 300
% 0.07/0.18 % DateTime : Mon Sep 28 15:33:51 UTC 2026
% 0.07/0.18 % CPUTime :
% 0.07/0.18 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.07/0.21 Running first-order model finding
% 0.07/0.21 Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.28 % (3646276)Will run a generic schedule for satisfiability detection.
% 0.20/0.28 % (3646285)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=2420496659:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.20/0.28 % (3646282)% WARNING: option uhcvi not known.
% 0.20/0.28 % (3646284)dis+10_1_sil=32000:sp=arity:random_seed=2435791512:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.20/0.28 % (3646281)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=3844093154_2999 on theBenchmark for (2999ds/0Mi)
% 0.20/0.28 % (3646283)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=781457696:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.20/0.28 % (3646282)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=4172975818:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.20/0.28 % (3646287)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=2247609926:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.20/0.28 % (3646285) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3646276-3646285"...
% 0.20/0.28 % (3646285)...printing done.
% 0.20/0.28 % (3646285)Refutation found. Thanks to Tanya!
% 0.20/0.28 % SZS status Unsatisfiable for theBenchmark
% 0.20/0.28 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.28 % (3646285)------------------------------
% 0.20/0.28 % (3646285)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.20/0.28 % (3646285)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.20/0.28 % (3646285)CaDiCaL version: 2.1.3
% 0.20/0.28 % (3646285)Termination reason: Refutation
% 0.20/0.28 % (3646285)Time elapsed: 0.016 s
% 0.20/0.28 % (3646285)Peak memory usage: 13 MB
% 0.20/0.28 % (3646285)Instructions burned: 42 (million)
% 0.20/0.28 % (3646276)Success in time 0.055 s
% 0.20/0.28 % Vampire exiting
%------------------------------------------------------------------------------